Separation between estimation and approximation

Uriel Feige, Shlomo Jozpeh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We show (under standard assumptions) that there are NP optimization problems for which estimation is easier than approximation. Namely, one can estimate the value of the optimal solution within a ratio of ρ, but it is difficult to find a solution whose value is within ρ of optimal. As an important special case, we show that there are linear programming relaxations for which no polynomial time rounding technique matches the integrality gap of the linear program.

Original languageEnglish
Title of host publicationITCS 2015 - Proceedings of the 6th Innovations in Theoretical Computer Science
Pages271-276
Number of pages6
ISBN (Electronic)9781450333337
DOIs
StatePublished - 11 Jan 2015
Event6th Conference on Innovations in Theoretical Computer Science, ITCS 2015 - Rehovot, Israel
Duration: 11 Jan 201513 Jan 2015

Publication series

NameITCS 2015 - Proceedings of the 6th Innovations in Theoretical Computer Science

Conference

Conference6th Conference on Innovations in Theoretical Computer Science, ITCS 2015
Country/TerritoryIsrael
CityRehovot
Period11/01/1513/01/15

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics

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